Live analysis

12,000

12,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

12,000 (twelve thousand) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5³. Its proper divisors sum to 27,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2EE0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Preferred Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

11,988 11,989 11,990 11,991 11,992 11,993 11,994 11,995 11,996 11,997 11,998 11,999 12,000 12,001 12,002 12,003 12,004 12,005 12,006 12,007 12,008 12,009 12,010 12,011 12,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 21
Recamán's sequence: a(22,784) = 12,000
Square (n²): 144,000,000
Cube (n³): 1,728,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 39,312
φ(n) — Euler's totient: 3,200
Sum of prime factors: 28

Primality

Prime factorization: 2 ⁵ × 3 × 5 ³

Nearest primes: 11,987 (−13) · 12,007 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 75 · 80 · 96 · 100 · 120 · 125 · 150 · 160 · 200 · 240 · 250 · 300 · 375 · 400 · 480 · 500 · 600 · 750 · 800 · 1000 · 1200 · 1500 · 2000 · 2400 · 3000 · 4000 · 6000 (half) · 12000

Aliquot sum (sum of proper divisors): 27,312

Factor pairs (a × b = 12,000)

1 × 12000

2 × 6000

3 × 4000

4 × 3000

5 × 2400

6 × 2000

8 × 1500

10 × 1200

12 × 1000

15 × 800

16 × 750

20 × 600

24 × 500

25 × 480

30 × 400

32 × 375

40 × 300

48 × 250

50 × 240

60 × 200

75 × 160

80 × 150

96 × 125

100 × 120

First multiples

12,000 · 24,000 (double) · 36,000 · 48,000 · 60,000 · 72,000 · 84,000 · 96,000 · 108,000 · 120,000

Sums & aliquot sequence

As consecutive integers: 3,999 + 4,000 + 4,001 2,398 + 2,399 + 2,400 + 2,401 + 2,402 793 + 794 + … + 807 468 + 469 + … + 492

Aliquot sequence: 12,000 → 27,312 → 43,368 → 74,232 → 127,008 → 307,503 → 213,457 → 2,003 → 1 → 0 — terminates at zero

Continued fraction of √n

√12,000 = [109; (1, 1, 5, 8, 1, 1, 2, 1, 1, 3, 1, 7, 1, 53, 1, 7, 1, 3, 1, 1, 2, 1, 1, 8, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: twelve thousand
Ordinal: 12000th
Binary: 10111011100000
Octal: 27340
Hexadecimal: 0x2EE0
Base64: LuA=
One's complement: 53,535 (16-bit)
Scientific notation: 1.2 × 10⁴
As a duration: 12,000 s = 3 hours, 20 minutes

In other bases

ternary (3) 121110110

quaternary (4) 2323200

quinary (5) 341000

senary (6) 131320

septenary (7) 46662

nonary (9) 17413

undecimal (11) 901a

duodecimal (12) 6b40

tridecimal (13) 5601

tetradecimal (14) 4532

pentadecimal (15) 3850

As an angle

12,000° = 33 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓂍𓆼𓆼
Greek (Milesian): ͵ιβ
Mayan (base 20): 𝋡·𝋪·𝋠·𝋠
Chinese: 一萬二千
Chinese (financial): 壹萬貳仟

In other modern scripts

Eastern Arabic ١٢٠٠٠ Devanagari १२००० Bengali ১২০০০ Tamil ௧௨௦௦௦ Thai ๑๒๐๐๐ Tibetan ༡༢༠༠༠ Khmer ១២០០០ Lao ໑໒໐໐໐ Burmese ၁၂၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 12,000 = 4
e — Euler's number (e): Digit 12,000 = 1
φ — Golden ratio (φ): Digit 12,000 = 9
√2 — Pythagoras's (√2): Digit 12,000 = 6
ln 2 — Natural log of 2: Digit 12,000 = 9
γ — Euler-Mascheroni (γ): Digit 12,000 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12000, here are decompositions:

13 + 11987 = 12000
19 + 11981 = 12000
29 + 11971 = 12000
31 + 11969 = 12000
41 + 11959 = 12000
47 + 11953 = 12000
59 + 11941 = 12000
61 + 11939 = 12000

Showing the first eight; more decompositions exist.

Unicode codepoint

⻠

CJK Radical C-Simplified Eat

U+2EE0

Other symbol (So)

UTF-8 encoding: E2 BB A0 (3 bytes).

Lookup U+2EE0 on Compart ↗ Lookup on FileFormat.Info ↗

Code page identifier

Code page 12000 is UTF-32 LE — Little-endian UTF-32.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Microsoft code page reference ↗

Hex color

#002EE0

RGB(0, 46, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.224.

Address: 0.0.46.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.46.224

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 12,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +23¢)
Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +25¢)

Position in π

The digit sequence 12000 first appears in π at position 127,098 of the decimal expansion (the 127,098ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 12000 on Pi Search ↗